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 A225900 T(n,k)=Number of nXk binary arrays whose sum with another nXk binary array containing no more than a single 1 has rows and columns in lexicographically nondecreasing order 7
 2, 4, 4, 7, 12, 7, 11, 33, 33, 11, 16, 78, 145, 78, 16, 22, 162, 545, 545, 162, 22, 29, 304, 1770, 3459, 1770, 304, 29, 37, 527, 5052, 19270, 19270, 5052, 527, 37, 46, 858, 12910, 93428, 193122, 93428, 12910, 858, 46, 56, 1328, 30055, 396804, 1706655, 1706655 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....4.....7......11........16..........22............29..............37 ..4...12....33......78.......162.........304...........527.............858 ..7...33...145.....545......1770........5052.........12910...........30055 .11...78...545....3459.....19270.......93428........396804.........1495926 .16..162..1770...19270....193122.....1706655......13135919........88428634 .22..304..5052...93428...1706655....28401254.....415506534......5301203235 .29..527.12910..396804..13135919...415506534...11798042714....293929504271 .37..858.30055.1495926..88428634..5301203235..293929504271..14479422646045 .46.1328.64701.5079770.526448417.59290115703.6410647528344.626694049293680 LINKS R. H. Hardin, Table of n, a(n) for n = 1..199 FORMULA Empirical: columns k=1..6 are polynomials in n of degree 2^k EXAMPLE Some solutions for n=3 k=4 ..0..0..1..1....0..1..1..1....0..0..0..0....0..0..0..1....0..0..1..0 ..0..1..0..0....1..0..0..0....0..1..1..1....0..1..0..1....0..1..0..1 ..1..1..1..1....1..0..1..1....0..1..1..1....0..1..1..0....1..1..0..1 CROSSREFS Column 1 is A000124 Sequence in context: A223770 A223777 A227089 * A227558 A296651 A297085 Adjacent sequences:  A225897 A225898 A225899 * A225901 A225902 A225903 KEYWORD nonn,tabl AUTHOR R. H. Hardin May 20 2013 STATUS approved

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Last modified December 8 08:31 EST 2021. Contains 349594 sequences. (Running on oeis4.)